Reference documentation for deal.II version GIT 0582167846 2023-09-24 21:20:02+00:00
\(\newcommand{\dealvcentcolon}{\mathrel{\mathop{:}}}\) \(\newcommand{\dealcoloneq}{\dealvcentcolon\mathrel{\mkern-1.2mu}=}\) \(\newcommand{\jump}[1]{\left[\!\left[ #1 \right]\!\right]}\) \(\newcommand{\average}[1]{\left\{\!\left\{ #1 \right\}\!\right\}}\)
fe_bernstein.h
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4 //
5 // This file is part of the deal.II library.
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11 // The full text of the license can be found in the file LICENSE.md at
12 // the top level directory of deal.II.
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15 
16 #ifndef dealii_fe_bernstein_h
17 #define dealii_fe_bernstein_h
18 
19 #include <deal.II/base/config.h>
20 
22 
23 #include <deal.II/fe/fe_q_base.h>
24 
26 
27 
64 template <int dim, int spacedim = dim>
65 class FE_Bernstein : public FE_Q_Base<dim, spacedim>
66 {
67 public:
71  FE_Bernstein(const unsigned int p);
72 
80  virtual void
82  FullMatrix<double> &matrix) const override;
83 
91  virtual const FullMatrix<double> &
93  const unsigned int child,
94  const RefinementCase<dim> &refinement_case =
96 
104  virtual const FullMatrix<double> &
106  const unsigned int child,
107  const RefinementCase<dim> &refinement_case =
109 
119  virtual void
122  const unsigned int face_no = 0) const override;
123 
133  virtual void
135  const FiniteElement<dim, spacedim> &source,
136  const unsigned int subface,
138  const unsigned int face_no = 0) const override;
139 
144  virtual bool
145  hp_constraints_are_implemented() const override;
146 
162  virtual std::vector<std::pair<unsigned int, unsigned int>>
164  const FiniteElement<dim, spacedim> &fe_other) const override;
165 
170  virtual std::vector<std::pair<unsigned int, unsigned int>>
172  const FiniteElement<dim, spacedim> &fe_other) const override;
173 
178  virtual std::vector<std::pair<unsigned int, unsigned int>>
180  const unsigned int face_no = 0) const override;
181 
187  const unsigned int codim = 0) const override final;
188 
194  virtual std::string
195  get_name() const override;
196 
197  virtual std::unique_ptr<FiniteElement<dim, spacedim>>
198  clone() const override;
199 
200 protected:
207  static std::vector<unsigned int>
208  get_dpo_vector(const unsigned int degree);
209 
215  renumber_bases(const unsigned int degree);
216 };
217 
218 
219 
223 
224 #endif
virtual std::unique_ptr< FiniteElement< dim, spacedim > > clone() const override
FE_Bernstein(const unsigned int p)
Definition: fe_bernstein.cc:38
virtual FiniteElementDomination::Domination compare_for_domination(const FiniteElement< dim, spacedim > &fe_other, const unsigned int codim=0) const override final
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_quad_dof_identities(const FiniteElement< dim, spacedim > &fe_other, const unsigned int face_no=0) const override
virtual bool hp_constraints_are_implemented() const override
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_vertex_dof_identities(const FiniteElement< dim, spacedim > &fe_other) const override
virtual const FullMatrix< double > & get_prolongation_matrix(const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const override
Definition: fe_bernstein.cc:81
TensorProductPolynomials< dim > renumber_bases(const unsigned int degree)
virtual std::string get_name() const override
static std::vector< unsigned int > get_dpo_vector(const unsigned int degree)
virtual void get_interpolation_matrix(const FiniteElement< dim, spacedim > &source, FullMatrix< double > &matrix) const override
Definition: fe_bernstein.cc:52
virtual const FullMatrix< double > & get_restriction_matrix(const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const override
Definition: fe_bernstein.cc:66
virtual void get_subface_interpolation_matrix(const FiniteElement< dim, spacedim > &source, const unsigned int subface, FullMatrix< double > &matrix, const unsigned int face_no=0) const override
virtual void get_face_interpolation_matrix(const FiniteElement< dim, spacedim > &source, FullMatrix< double > &matrix, const unsigned int face_no=0) const override
Definition: fe_bernstein.cc:96
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_line_dof_identities(const FiniteElement< dim, spacedim > &fe_other) const override
const unsigned int degree
Definition: fe_data.h:453
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:477
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:478
@ matrix
Contents is actually a matrix.